Question

What amount of energy in joules is required to raise the temperature of 5.00 g of silver from 25.0°C to 27.5°C? (The specific heat of silver is 0.24 J/g°C.)(1 point)
Responses

0.14 J
0.14 J

3.0 J
3.0 J

12.5 J
12.5 J

1.2 J

Answer 1

To calculate the amount of energy required to raise the temperature of the silver, we can use the formula:

\[
q = m \cdot c \cdot \Delta T
\]

where:
- \( q \) is the heat energy (in joules),
- \( m \) is the mass (in grams),
- \( c \) is the specific heat capacity (in J/g°C),
- \( \Delta T \) is the change in temperature (in °C).

Given:
- \( m = 5.00 \) g (mass of silver),
- \( c = 0.24 \) J/g°C (specific heat of silver),
- Initial temperature \( T_i = 25.0 \) °C,
- Final temperature \( T_f = 27.5 \) °C.

First, calculate the change in temperature (\( \Delta T \)):

\[
\Delta T = T_f - T_i = 27.5°C - 25.0°C = 2.5°C
\]

Now plug these values into the formula:

\[
q = 5.00 \, \text{g} \cdot 0.24 \, \text{J/g°C} \cdot 2.5 \, °C
\]

Calculating this gives:

\[
q = 5.00 \cdot 0.24 \cdot 2.5 = 3.00 \, \text{J}
\]

Thus, the amount of energy required to raise the temperature of 5.00 g of silver from 25.0°C to 27.5°C is **3.0 J**.